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Finding the Fourth Proportional to 50,731, 76,141.41 and 24,109.72

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Solution

The fourth proportional to 50,731, 76,141.41 and 24,109.72 is: 36,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,731 : 76,141.41 = 24,109.72 : x
  2. Step 2: Convert to fraction form
    50,731/76,141.41 = 24,109.72/x
  3. Step 3: Cross multiply
    50,731x = 76,141.41 × 24,109.72
  4. Step 4: Simplify right side
    50,731x = 1,835,748,075.51
  5. Step 5: Solve for x
    x = 1,835,748,075.51/50,731
  6. Step 6: Final answer
    x = 36,185.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.